For UCL authors

Projective geometry for blueprints

Peña, JL;
Lorscheid, O;
(2012)
Projective geometry for blueprints.

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Abstract

In this note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint. In particular, it is possible to descend closed subvarieties of a projective space to a canonical F_1-model. We discuss this explicitly in case of the Grassmannian Gr(2,4).